2101131131213 has 4 divisors (see below), whose sum is σ = 2121530462688. Its totient is φ = 2080731799740.

The previous prime is 2101131131161. The next prime is 2101131131219. The reversal of 2101131131213 is 3121311311012.

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 2101131131213 - 2⁶ = 2101131131149 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 (2101131131219) 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, 10199665583 + ... + 10199665788.

It is an arithmetic number, because the mean of its divisors is an integer number (530382615672).

Almost surely, 2^{2101131131213} is an apocalyptic number.

It is an amenable number.

2101131131213 is a deficient number, since it is larger than the sum of its proper divisors (20399331475).

2101131131213 is a wasteful number, since it uses less digits than its factorization.

2101131131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20399331474.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 2101131131213 its reverse (3121311311012), we get a palindrome (5222442442225).

The spelling of 2101131131213 in words is "two trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred thirteen".