10013321311312 has 80 divisors (see below), whose sum is σ = 22096158933888. Its totient is φ = 4351362301440.

The previous prime is 10013321311309. The next prime is 10013321311321. The reversal of 10013321311312 is 21311312331001.

It is a super-2 number, since 2×10013321311312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 7184938 + ... + 8464630.

Almost surely, 2^{10013321311312} 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 10013321311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048079466944).

10013321311312 is an abundant number, since it is smaller than the sum of its proper divisors (12082837622576).

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

10013321311312 is a wasteful number, since it uses less digits than its factorization.

10013321311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281668 (or 1281662 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10013321311312 its reverse (21311312331001), we get a palindrome (31324633642313).

The spelling of 10013321311312 in words is "ten trillion, thirteen billion, three hundred twenty-one million, three hundred eleven thousand, three hundred twelve".