131322101001 has 64 divisors (see below), whose sum is σ = 221860240896. Its totient is φ = 67234406400.

The previous prime is 131322100969. The next prime is 131322101033. The reversal of 131322101001 is 100101223131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131322100969) and next prime (131322101033).

It is not a de Polignac number, because 131322101001 - 2⁵ = 131322100969 is a prime.

It is a super-2 number, since 2×131322101001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131322101081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4237081 + ... + 4267961.

It is an arithmetic number, because the mean of its divisors is an integer number (3466566264).

Almost surely, 2^131322101001 is an apocalyptic number.

It is an amenable number.

131322101001 is a deficient number, since it is larger than the sum of its proper divisors (90538139895).

131322101001 is a wasteful number, since it uses less digits than its factorization.

131322101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31362.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131322101001 its reverse (100101223131), we get a palindrome (231423324132).

The spelling of 131322101001 in words is "one hundred thirty-one billion, three hundred twenty-two million, one hundred one thousand, one".