1300135306131 has 24 divisors (see below), whose sum is σ = 1879693111296. Its totient is φ = 865963390320.

The previous prime is 1300135306117. The next prime is 1300135306177. The reversal of 1300135306131 is 1316035310031.

1300135306131 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 13 + 5 + 30 + 613 + 1 = 666.

It is not a de Polignac number, because 1300135306131 - 2⁷ = 1300135306003 is a prime.

It is a super-2 number, since 2×1300135306131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300135306095 and 1300135306104.

It is not an unprimeable number, because it can be changed into a prime (1300135306031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64792606 + ... + 64812668.

It is an arithmetic number, because the mean of its divisors is an integer number (78320546304).

Almost surely, 2^{1300135306131} is an apocalyptic number.

1300135306131 is a deficient number, since it is larger than the sum of its proper divisors (579557805165).

1300135306131 is a wasteful number, since it uses less digits than its factorization.

1300135306131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26303 (or 26300 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 1300135306131 in words is "one trillion, three hundred billion, one hundred thirty-five million, three hundred six thousand, one hundred thirty-one".