101331131131301 has 4 divisors (see below), whose sum is σ = 101336699100000. Its totient is φ = 101325563162604.

The previous prime is 101331131131249. The next prime is 101331131131303. The reversal of 101331131131301 is 103131131133101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101331131131301 - 2²⁶ = 101331064022437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331131131303) 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, 2783957051 + ... + 2783993448.

It is an arithmetic number, because the mean of its divisors is an integer number (25334174775000).

Almost surely, 2^{101331131131301} is an apocalyptic number.

It is an amenable number.

101331131131301 is a deficient number, since it is larger than the sum of its proper divisors (5567968699).

101331131131301 is an equidigital number, since it uses as much as digits as its factorization.

101331131131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567968698.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 101331131131301 its reverse (103131131133101), we get a palindrome (204462262264402).

The spelling of 101331131131301 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred one".