131010111121320 has 96 divisors (see below), whose sum is σ = 426731153121000. Its totient is φ = 34858221060096.

The previous prime is 131010111121319. The next prime is 131010111121321. The reversal of 131010111121320 is 23121111010131.

131010111121320 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 1 + 1 + 11 + 21 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (131010111121319) and next prime (131010111121321).

It can be written as a sum of positive squares in 4 ways, for example, as 130908517208676 + 101593912644 = 11441526^2 + 318738^2 .

It is a super-2 number, since 2×131010111121320² (a number of 29 digits) contains 22 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 = 131010111121293 and 131010111121302.

It is not an unprimeable number, because it can be changed into a prime (131010111121321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405091117 + ... + 405414396.

Almost surely, 2^{131010111121320} is an apocalyptic number.

131010111121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010111121320 is an abundant number, since it is smaller than the sum of its proper divisors (295721041999680).

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

131010111121320 is a wasteful number, since it uses less digits than its factorization.

131010111121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810505979 (or 810505972 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 131010111121320 its reverse (23121111010131), we get a palindrome (154131222131451).

The spelling of 131010111121320 in words is "one hundred thirty-one trillion, ten billion, one hundred eleven million, one hundred twenty-one thousand, three hundred twenty".