1002145350131 has 64 divisors (see below), whose sum is σ = 1088150976000. Its totient is φ = 921405735936.

The previous prime is 1002145350091. The next prime is 1002145350133. The reversal of 1002145350131 is 1310535412001.

It is a de Polignac number, because none of the positive numbers 2^k-1002145350131 is a prime.

It is a super-2 number, since 2×1002145350131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002145350131.

It is not an unprimeable number, because it can be changed into a prime (1002145350133) 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, 1916147636 + ... + 1916148158.

It is an arithmetic number, because the mean of its divisors is an integer number (17002359000).

Almost surely, 2^{1002145350131} is an apocalyptic number.

1002145350131 is a deficient number, since it is larger than the sum of its proper divisors (86005625869).

1002145350131 is a wasteful number, since it uses less digits than its factorization.

1002145350131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 1002145350131 in words is "one trillion, two billion, one hundred forty-five million, three hundred fifty thousand, one hundred thirty-one".