32135012300313 has 72 divisors (see below), whose sum is σ = 51101717535960. Its totient is φ = 19445384724480.

The previous prime is 32135012300299. The next prime is 32135012300327. The reversal of 32135012300313 is 31300321053123.

32135012300313 is a `hidden beast` number, since 3 + 2 + 1 + 35 + 0 + 12 + 300 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (32135012300299) and next prime (32135012300327).

It can be written as a sum of positive squares in 12 ways, for example, as 32120363555289 + 14648745024 = 5667483^2 + 121032^2 .

It is not a de Polignac number, because 32135012300313 - 2⁶ = 32135012300249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32135012301313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320693823 + ... + 320794011.

Almost surely, 2^{32135012300313} is an apocalyptic number.

It is an amenable number.

32135012300313 is a deficient number, since it is larger than the sum of its proper divisors (18966705235647).

32135012300313 is a wasteful number, since it uses less digits than its factorization.

32135012300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103739 (or 103723 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 32135012300313 its reverse (31300321053123), we get a palindrome (63435333353436).

The spelling of 32135012300313 in words is "thirty-two trillion, one hundred thirty-five billion, twelve million, three hundred thousand, three hundred thirteen".