230311113032 has 256 divisors, whose sum is σ = 614476800000. Its totient is φ = 77935426560.

The previous prime is 230311113031. The next prime is 230311113083.

230311113032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230311112995 and 230311113013.

It is not an unprimeable number, because it can be changed into a prime (230311113031) 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, 22665569 + ... + 22675727.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300000).

Almost surely, 2^230311113032 is an apocalyptic number.

230311113032 is a gapful number since it is divisible by the number (22) 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 230311113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400000).

230311113032 is an abundant number, since it is smaller than the sum of its proper divisors (384165686968).

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

230311113032 is a wasteful number, since it uses less digits than its factorization.

230311113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 230311 and 113032, that added together give a palindrome (343343).

The spelling of 230311113032 in words is "two hundred thirty billion, three hundred eleven million, one hundred thirteen thousand, thirty-two".