1001002000131 has 64 divisors (see below), whose sum is σ = 1749758771200. Its totient is φ = 553464381600.

The previous prime is 1001002000129. The next prime is 1001002000157. The reversal of 1001002000131 is 1310002001001.

It is not a de Polignac number, because 1001002000131 - 2¹ = 1001002000129 is a prime.

It is a super-2 number, since 2×1001002000131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001002002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69357486 + ... + 69371916.

It is an arithmetic number, because the mean of its divisors is an integer number (27339980800).

Almost surely, 2^{1001002000131} is an apocalyptic number.

1001002000131 is a deficient number, since it is larger than the sum of its proper divisors (748756771069).

1001002000131 is a wasteful number, since it uses less digits than its factorization.

1001002000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26317 (or 26311 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001002000131 its reverse (1310002001001), we get a palindrome (2311004001132).

The spelling of 1001002000131 in words is "one trillion, one billion, two million, one hundred thirty-one", and thus it is an aban number.