1010005050131 has 8 divisors (see below), whose sum is σ = 1259227075584. Its totient is φ = 787016922120.

The previous prime is 1010005050113. The next prime is 1010005050181. The reversal of 1010005050131 is 1310505000101.

1010005050131 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 not a de Polignac number, because 1010005050131 - 2¹⁰ = 1010005049107 is a prime.

It is a super-2 number, since 2×1010005050131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010005050181) 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, 6558474275 + ... + 6558474428.

It is an arithmetic number, because the mean of its divisors is an integer number (157403384448).

Almost surely, 2^{1010005050131} is an apocalyptic number.

1010005050131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010005050131 is a deficient number, since it is larger than the sum of its proper divisors (249222025453).

1010005050131 is a wasteful number, since it uses less digits than its factorization.

1010005050131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116948721.

The product of its (nonzero) digits is 75, while the sum is 17.

The spelling of 1010005050131 in words is "one trillion, ten billion, five million, fifty thousand, one hundred thirty-one".