101142314031013 has 4 divisors (see below), whose sum is σ = 104404969322368. Its totient is φ = 97879658739660.

The previous prime is 101142314031007. The next prime is 101142314031037. The reversal of 101142314031013 is 310130413241101.

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 101142314031013 - 2³⁷ = 101004875077541 is a prime.

It is a super-3 number, since 3×101142314031013³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142314031613) 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, 1631327645631 + ... + 1631327645692.

It is an arithmetic number, because the mean of its divisors is an integer number (26101242330592).

Almost surely, 2^{101142314031013} is an apocalyptic number.

It is an amenable number.

101142314031013 is a deficient number, since it is larger than the sum of its proper divisors (3262655291355).

101142314031013 is an equidigital number, since it uses as much as digits as its factorization.

101142314031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262655291354.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 101142314031013 its reverse (310130413241101), we get a palindrome (411272727272114).

The spelling of 101142314031013 in words is "one hundred one trillion, one hundred forty-two billion, three hundred fourteen million, thirty-one thousand, thirteen".