101431412430 has 128 divisors (see below), whose sum is σ = 258181862400. Its totient is φ = 25451120640.

The previous prime is 101431412417. The next prime is 101431412431. The reversal of 101431412430 is 34214134101.

It is a self number, because there is not a number n which added to its sum of digits gives 101431412430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431412431) 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, 13798396 + ... + 13805744.

It is an arithmetic number, because the mean of its divisors is an integer number (2017045800).

Almost surely, 2^101431412430 is an apocalyptic number.

101431412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129090931200).

101431412430 is an abundant number, since it is smaller than the sum of its proper divisors (156750449970).

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

101431412430 is a wasteful number, since it uses less digits than its factorization.

101431412430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7706.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101431412430 its reverse (34214134101), we get a palindrome (135645546531).

The spelling of 101431412430 in words is "one hundred one billion, four hundred thirty-one million, four hundred twelve thousand, four hundred thirty".