10002334011312 has 80 divisors (see below), whose sum is σ = 26460449280000. Its totient is φ = 3254919562752.

The previous prime is 10002334011301. The next prime is 10002334011323. The reversal of 10002334011312 is 21311043320001.

It is an interprime number because it is at equal distance from previous prime (10002334011301) and next prime (10002334011323).

It is a super-2 number, since 2×10002334011312² (a number of 27 digits) contains 22 as substring.

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, 14481312 + ... + 15156287.

It is an arithmetic number, because the mean of its divisors is an integer number (330755616000).

Almost surely, 2^{10002334011312} is an apocalyptic number.

10002334011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002334011312 is an abundant number, since it is smaller than the sum of its proper divisors (16458115268688).

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

10002334011312 is a wasteful number, since it uses less digits than its factorization.

10002334011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29637778 (or 29637772 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10002334011312 its reverse (21311043320001), we get a palindrome (31313377331313).

The spelling of 10002334011312 in words is "ten trillion, two billion, three hundred thirty-four million, eleven thousand, three hundred twelve".