1001011313120 has 768 divisors, whose sum is σ = 3095337369600. Its totient is φ = 297473679360.

The previous prime is 1001011313083. The next prime is 1001011313143. The reversal of 1001011313120 is 213131101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001011313095 and 1001011313104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2389048271 + ... + 2389048689.

It is an arithmetic number, because the mean of its divisors is an integer number (4030387200).

Almost surely, 2^{1001011313120} is an apocalyptic number.

1001011313120 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 1001011313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547668684800).

1001011313120 is an abundant number, since it is smaller than the sum of its proper divisors (2094326056480).

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

1001011313120 is a wasteful number, since it uses less digits than its factorization.

1001011313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1001011313120 its reverse (213131101001), we get a palindrome (1214142414121).

It can be divided in two parts, 1001011 and 313120, that added together give a palindrome (1314131).

The spelling of 1001011313120 in words is "one trillion, one billion, eleven million, three hundred thirteen thousand, one hundred twenty".