10132312003200 has 144 divisors (see below), whose sum is σ = 36154411318350. Its totient is φ = 2701949859840.

The previous prime is 10132312003199. The next prime is 10132312003213. The reversal of 10132312003200 is 230021323101.

10132312003200 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 312 + 0 + 0 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9080965279296 + 1051346723904 = 3013464^2 + 1025352^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10132312003200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175879395 + ... + 175936994.

Almost surely, 2^{10132312003200} is an apocalyptic number.

10132312003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132312003200 is an abundant number, since it is smaller than the sum of its proper divisors (26022099315150).

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

10132312003200 is a wasteful number, since it uses less digits than its factorization.

10132312003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351816419 (or 351816399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132312003200 its reverse (230021323101), we get a palindrome (10362333326301).

The spelling of 10132312003200 in words is "ten trillion, one hundred thirty-two billion, three hundred twelve million, three thousand, two hundred".