2131020111013 has 2 divisors, whose sum is σ = 2131020111014. Its totient is φ = 2131020111012.

The previous prime is 2131020111007. The next prime is 2131020111049. The reversal of 2131020111013 is 3101110201312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1619098463844 + 511921647169 = 1272438^2 + 715487^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131020111013 - 2¹³ = 2131020102821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131020111083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065510055506 + 1065510055507.

It is an arithmetic number, because the mean of its divisors is an integer number (1065510055507).

Almost surely, 2^{2131020111013} is an apocalyptic number.

It is an amenable number.

2131020111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131020111013 is an equidigital number, since it uses as much as digits as its factorization.

2131020111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2131020111013 its reverse (3101110201312), we get a palindrome (5232130312325).

The spelling of 2131020111013 in words is "two trillion, one hundred thirty-one billion, twenty million, one hundred eleven thousand, thirteen".