2142114440013 has 48 divisors (see below), whose sum is σ = 3252278615040. Its totient is φ = 1357446448032.

The previous prime is 2142114440009. The next prime is 2142114440033. The reversal of 2142114440013 is 3100444112412.

2142114440013 is a `hidden beast` number, since 2 + 1 + 4 + 211 + 4 + 440 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2142114440013 - 2² = 2142114440009 is a prime.

It is a super-2 number, since 2×2142114440013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142114440033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1554370 + ... + 2588492.

It is an arithmetic number, because the mean of its divisors is an integer number (67755804480).

Almost surely, 2^{2142114440013} is an apocalyptic number.

It is an amenable number.

2142114440013 is a deficient number, since it is larger than the sum of its proper divisors (1110164175027).

2142114440013 is a wasteful number, since it uses less digits than its factorization.

2142114440013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034318 (or 1034315 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2142114440013 its reverse (3100444112412), we get a palindrome (5242558552425).

The spelling of 2142114440013 in words is "two trillion, one hundred forty-two billion, one hundred fourteen million, four hundred forty thousand, thirteen".