10132311003120 has 480 divisors, whose sum is σ = 36423854438400. Its totient is φ = 2516848588800.

The previous prime is 10132311003119. The next prime is 10132311003121. The reversal of 10132311003120 is 2130011323101.

10132311003120 is a `hidden beast` number, since 10 + 1 + 32 + 311 + 0 + 0 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10132311003119) and next prime (10132311003121).

It is a super-3 number, since 3×10132311003120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132311003093 and 10132311003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132311003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195310785 + ... + 195362655.

It is an arithmetic number, because the mean of its divisors is an integer number (75883030080).

Almost surely, 2^{10132311003120} is an apocalyptic number.

10132311003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132311003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211927219200).

10132311003120 is an abundant number, since it is smaller than the sum of its proper divisors (26291543435280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132311003120 is a wasteful number, since it uses less digits than its factorization.

10132311003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52149 (or 52140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132311003120 its reverse (2130011323101), we get a palindrome (12262322326221).

The spelling of 10132311003120 in words is "ten trillion, one hundred thirty-two billion, three hundred eleven million, three thousand, one hundred twenty".