13431023100 has 324 divisors, whose sum is σ = 47715544968. Its totient is φ = 3254256000.

The previous prime is 13431023087. The next prime is 13431023101. The reversal of 13431023100 is 132013431.

13431023100 is a `hidden beast` number, since 1 + 3 + 431 + 0 + 231 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×13431023100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431023101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7216170 + ... + 7218030.

Almost surely, 2^13431023100 is an apocalyptic number.

13431023100 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 13431023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23857772484).

13431023100 is an abundant number, since it is smaller than the sum of its proper divisors (34284521868).

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

13431023100 is a wasteful number, since it uses less digits than its factorization.

13431023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13431023100 its reverse (132013431), we get a palindrome (13563036531).

The spelling of 13431023100 in words is "thirteen billion, four hundred thirty-one million, twenty-three thousand, one hundred".