130431214013100 has 1152 divisors, whose sum is σ = 520712389607424. Its totient is φ = 24326438400000.

The previous prime is 130431214013099. The next prime is 130431214013183. The reversal of 130431214013100 is 1310412134031.

It is a happy number.

It is a super-2 number, since 2×130431214013100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26344415625 + ... + 26344420575.

Almost surely, 2^{130431214013100} is an apocalyptic number.

130431214013100 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 130431214013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260356194803712).

130431214013100 is an abundant number, since it is smaller than the sum of its proper divisors (390281175594324).

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

130431214013100 is a wasteful number, since it uses less digits than its factorization.

130431214013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130431214013100 its reverse (1310412134031), we get a palindrome (131741626147131).

The spelling of 130431214013100 in words is "one hundred thirty trillion, four hundred thirty-one billion, two hundred fourteen million, thirteen thousand, one hundred".