11133010120131 has 64 divisors (see below), whose sum is σ = 17729670182400. Its totient is φ = 6879258989568.

The previous prime is 11133010120091. The next prime is 11133010120147. The reversal of 11133010120131 is 13102101033111.

11133010120131 is a `hidden beast` number, since 1 + 1 + 1 + 330 + 101 + 201 + 31 = 666.

It is not a de Polignac number, because 11133010120131 - 2¹³ = 11133010111939 is a prime.

It is a super-2 number, since 2×11133010120131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11133010120231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21829020 + ... + 22333206.

It is an arithmetic number, because the mean of its divisors is an integer number (277026096600).

Almost surely, 2^{11133010120131} is an apocalyptic number.

11133010120131 is a deficient number, since it is larger than the sum of its proper divisors (6596660062269).

11133010120131 is a wasteful number, since it uses less digits than its factorization.

11133010120131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504945 (or 504939 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11133010120131 its reverse (13102101033111), we get a palindrome (24235111153242).

The spelling of 11133010120131 in words is "eleven trillion, one hundred thirty-three billion, ten million, one hundred twenty thousand, one hundred thirty-one".