131103131334032 has 320 divisors, whose sum is σ = 322611111567360. Its totient is φ = 50772514867200.

The previous prime is 131103131334031. The next prime is 131103131334067. The reversal of 131103131334032 is 230433131301131.

It is a happy number.

It is a super-2 number, since 2×131103131334032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 131103131333986 and 131103131334004.

It is not an unprimeable number, because it can be changed into a prime (131103131334031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133608557 + ... + 134586227.

It is an arithmetic number, because the mean of its divisors is an integer number (1008159723648).

Almost surely, 2^{131103131334032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103131334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161305555783680).

131103131334032 is an abundant number, since it is smaller than the sum of its proper divisors (191507980233328).

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

131103131334032 is a wasteful number, since it uses less digits than its factorization.

131103131334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977822 (or 977816 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 131103131334032 its reverse (230433131301131), we get a palindrome (361536262635163).

The spelling of 131103131334032 in words is "one hundred thirty-one trillion, one hundred three billion, one hundred thirty-one million, three hundred thirty-four thousand, thirty-two".