131024040100 has 144 divisors (see below), whose sum is σ = 299530078848. Its totient is φ = 49698754560.

The previous prime is 131024040079. The next prime is 131024040107. The reversal of 131024040100 is 1040420131.

It is not an unprimeable number, because it can be changed into a prime (131024040107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22103337 + ... + 22109263.

It is an arithmetic number, because the mean of its divisors is an integer number (2080069992).

Almost surely, 2^131024040100 is an apocalyptic number.

131024040100 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 131024040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149765039424).

131024040100 is an abundant number, since it is smaller than the sum of its proper divisors (168506038748).

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

131024040100 is a wasteful number, since it uses less digits than its factorization.

131024040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 131024040100 its reverse (1040420131), we get a palindrome (132064460231).

The spelling of 131024040100 in words is "one hundred thirty-one billion, twenty-four million, forty thousand, one hundred".