1002305133131 has 8 divisors (see below), whose sum is σ = 1004626504800. Its totient is φ = 999984158208.

The previous prime is 1002305133113. The next prime is 1002305133139. The reversal of 1002305133131 is 1313315032001.

1002305133131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002305133131 is a prime.

It is a super-2 number, since 2×1002305133131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002305133097 and 1002305133106.

It is not an unprimeable number, because it can be changed into a prime (1002305133139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5298185 + ... + 5484101.

It is an arithmetic number, because the mean of its divisors is an integer number (125578313100).

Almost surely, 2^{1002305133131} is an apocalyptic number.

1002305133131 is a deficient number, since it is larger than the sum of its proper divisors (2321371669).

1002305133131 is a wasteful number, since it uses less digits than its factorization.

1002305133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198373.

The product of its (nonzero) digits is 810, while the sum is 23.

The spelling of 1002305133131 in words is "one trillion, two billion, three hundred five million, one hundred thirty-three thousand, one hundred thirty-one".