32312013000 has 256 divisors, whose sum is σ = 104775690240. Its totient is φ = 8281728000.

The previous prime is 32312012987. The next prime is 32312013007. The reversal of 32312013000 is 31021323.

It is a super-2 number, since 2×32312013000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32312013007) 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, 14599894 + ... + 14602106.

It is an arithmetic number, because the mean of its divisors is an integer number (409280040).

Almost surely, 2^32312013000 is an apocalyptic number.

32312013000 is a gapful number since it is divisible by the number (30) 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 32312013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52387845120).

32312013000 is an abundant number, since it is smaller than the sum of its proper divisors (72463677240).

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

32312013000 is a wasteful number, since it uses less digits than its factorization.

32312013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 32312013000 its reverse (31021323), we get a palindrome (32343034323).

The spelling of 32312013000 in words is "thirty-two billion, three hundred twelve million, thirteen thousand".