131001100023001 has 8 divisors (see below), whose sum is σ = 141135062982984. Its totient is φ = 120875273529600.

The previous prime is 131001100022993. The next prime is 131001100023061. The reversal of 131001100023001 is 100320001100131.

It can be written as a sum of positive squares in 4 ways, for example, as 6024373891600 + 124976726131401 = 2454460^2 + 11179299^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131001100023001 - 2³ = 131001100022993 is a prime.

It is a super-2 number, since 2×131001100023001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001100023061) 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, 2034083200 + ... + 2034147601.

It is an arithmetic number, because the mean of its divisors is an integer number (17641882872873).

Almost surely, 2^{131001100023001} is an apocalyptic number.

It is an amenable number.

131001100023001 is a deficient number, since it is larger than the sum of its proper divisors (10133962959983).

131001100023001 is a wasteful number, since it uses less digits than its factorization.

131001100023001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068233291.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131001100023001 its reverse (100320001100131), we get a palindrome (231321101123132).

The spelling of 131001100023001 in words is "one hundred thirty-one trillion, one billion, one hundred million, twenty-three thousand, one".