131013132001 has 4 divisors (see below), whose sum is σ = 131384274372. Its totient is φ = 130641989632.

The previous prime is 131013131971. The next prime is 131013132031. The reversal of 131013132001 is 100231310131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100231310131 = 1511 ⋅66334421.

It is an interprime number because it is at equal distance from previous prime (131013131971) and next prime (131013132031).

It can be written as a sum of positive squares in 2 ways, for example, as 46332132001 + 84681000000 = 215249^2 + 291000^2 .

It is a cyclic number.

It is not a de Polignac number, because 131013132001 - 2⁵ = 131013131969 is a prime.

It is a super-2 number, since 2×131013132001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131013132031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185570656 + ... + 185571361.

It is an arithmetic number, because the mean of its divisors is an integer number (32846068593).

Almost surely, 2^131013132001 is an apocalyptic number.

It is an amenable number.

131013132001 is a deficient number, since it is larger than the sum of its proper divisors (371142371).

131013132001 is an equidigital number, since it uses as much as digits as its factorization.

131013132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371142370.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131013132001 its reverse (100231310131), we get a palindrome (231244442132).

The spelling of 131013132001 in words is "one hundred thirty-one billion, thirteen million, one hundred thirty-two thousand, one".