131001020001 has 24 divisors (see below), whose sum is σ = 200390697000. Its totient is φ = 82181869056.

The previous prime is 131001019999. The next prime is 131001020011. The reversal of 131001020001 is 100020100131.

It can be written as a sum of positive squares in 4 ways, for example, as 2084835600 + 128916184401 = 45660^2 + 359049^2 .

It is not a de Polignac number, because 131001020001 - 2¹ = 131001019999 is a prime.

It is a super-2 number, since 2×131001020001² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131001020011) 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, 805131 + ... + 954063.

It is an arithmetic number, because the mean of its divisors is an integer number (8349612375).

Almost surely, 2^131001020001 is an apocalyptic number.

It is an amenable number.

131001020001 is a deficient number, since it is larger than the sum of its proper divisors (69389676999).

131001020001 is a wasteful number, since it uses less digits than its factorization.

131001020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154705 (or 154702 counting only the distinct ones).

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

Adding to 131001020001 its reverse (100020100131), we get a palindrome (231021120132).

The spelling of 131001020001 in words is "one hundred thirty-one billion, one million, twenty thousand, one".