1000131013312 has 112 divisors (see below), whose sum is σ = 2073185031168. Its totient is φ = 478163727360.

The previous prime is 1000131013261. The next prime is 1000131013331. The reversal of 1000131013312 is 2133101310001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84272403 + ... + 84284269.

Almost surely, 2^{1000131013312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000131013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036592515584).

1000131013312 is an abundant number, since it is smaller than the sum of its proper divisors (1073054017856).

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

1000131013312 is a wasteful number, since it uses less digits than its factorization.

1000131013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1000131013312 its reverse (2133101310001), we get a palindrome (3133232323313).

The spelling of 1000131013312 in words is "one trillion, one hundred thirty-one million, thirteen thousand, three hundred twelve".