133131100031 has 16 divisors (see below), whose sum is σ = 140724670464. Its totient is φ = 125690842464.

The previous prime is 133131099979. The next prime is 133131100093. The reversal of 133131100031 is 130001131331.

It is a cyclic number.

It is not a de Polignac number, because 133131100031 - 2⁶ = 133131099967 is a prime.

It is a super-2 number, since 2×133131100031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133131099982 and 133131100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131100831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043005 + ... + 2107161.

It is an arithmetic number, because the mean of its divisors is an integer number (8795291904).

Almost surely, 2^133131100031 is an apocalyptic number.

133131100031 is a deficient number, since it is larger than the sum of its proper divisors (7593570433).

133131100031 is a wasteful number, since it uses less digits than its factorization.

133131100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65350.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 133131100031 its reverse (130001131331), we get a palindrome (263132231362).

The spelling of 133131100031 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred thousand, thirty-one".