10133120313 has 12 divisors (see below), whose sum is σ = 14773522608. Its totient is φ = 6692278200.

The previous prime is 10133120279. The next prime is 10133120341. The reversal of 10133120313 is 31302133101.

It is a happy number.

10133120313 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 20 + 313 = 666.

It is not a de Polignac number, because 10133120313 - 2¹⁰ = 10133119289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10133120353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5260263 + ... + 5262188.

It is an arithmetic number, because the mean of its divisors is an integer number (1231126884).

Almost surely, 2^10133120313 is an apocalyptic number.

It is an amenable number.

10133120313 is a deficient number, since it is larger than the sum of its proper divisors (4640402295).

10133120313 is a wasteful number, since it uses less digits than its factorization.

10133120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522564 (or 10522561 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133120313 its reverse (31302133101), we get a palindrome (41435253414).

The spelling of 10133120313 in words is "ten billion, one hundred thirty-three million, one hundred twenty thousand, three hundred thirteen".