101413312431000 has 256 divisors, whose sum is σ = 317077406755200. Its totient is φ = 26986493952000.

The previous prime is 101413312430999. The next prime is 101413312431037. The reversal of 101413312431000 is 134213314101.

It is a happy number.

It is a super-2 number, since 2×101413312431000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9856473856 + ... + 9856484144.

Almost surely, 2^{101413312431000} is an apocalyptic number.

101413312431000 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 101413312431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158538703377600).

101413312431000 is an abundant number, since it is smaller than the sum of its proper divisors (215664094324200).

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

101413312431000 is a wasteful number, since it uses less digits than its factorization.

101413312431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16927 (or 16913 counting only the distinct ones).

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

Adding to 101413312431000 its reverse (134213314101), we get a palindrome (101547525745101).

The spelling of 101413312431000 in words is "one hundred one trillion, four hundred thirteen billion, three hundred twelve million, four hundred thirty-one thousand".