231001313010000 has 800 divisors, whose sum is σ = 873286031616768. Its totient is φ = 52070584320000.

The previous prime is 231001313009939. The next prime is 231001313010001. The reversal of 231001313010000 is 10313100132.

It is a super-2 number, since 2×231001313010000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001313010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 244839165 + ... + 245780835.

Almost surely, 2^{231001313010000} is an apocalyptic number.

231001313010000 is a gapful number since it is divisible by the number (20) 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 231001313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436643015808384).

231001313010000 is an abundant number, since it is smaller than the sum of its proper divisors (642284718606768).

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

231001313010000 is a wasteful number, since it uses less digits than its factorization.

231001313010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941769 (or 941748 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 231001313010000 its reverse (10313100132), we get a palindrome (231011626110132).

The spelling of 231001313010000 in words is "two hundred thirty-one trillion, one billion, three hundred thirteen million, ten thousand".