2142314013 has 64 divisors (see below), whose sum is σ = 3472128000. Its totient is φ = 1149168384.

The previous prime is 2142313997. The next prime is 2142314033. The reversal of 2142314013 is 3104132412.

It is not a de Polignac number, because 2142314013 - 2⁴ = 2142313997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142314033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3916206 + ... + 3916752.

It is an arithmetic number, because the mean of its divisors is an integer number (54252000).

Almost surely, 2^2142314013 is an apocalyptic number.

It is an amenable number.

2142314013 is a deficient number, since it is larger than the sum of its proper divisors (1329813987).

2142314013 is a wasteful number, since it uses less digits than its factorization.

2142314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2142314013 is about 46285.1381439010. The cubic root of 2142314013 is about 1289.1230570142.

Adding to 2142314013 its reverse (3104132412), we get a palindrome (5246446425).

The spelling of 2142314013 in words is "two billion, one hundred forty-two million, three hundred fourteen thousand, thirteen".