2102132013 has 16 divisors (see below), whose sum is σ = 3018977280. Its totient is φ = 1296784944.

The previous prime is 2102131987. The next prime is 2102132027. The reversal of 2102132013 is 3102312012.

It is not a de Polignac number, because 2102132013 - 2⁹ = 2102131501 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102131983 and 2102132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102132083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426381 + ... + 431282.

It is an arithmetic number, because the mean of its divisors is an integer number (188686080).

Almost surely, 2^2102132013 is an apocalyptic number.

It is an amenable number.

2102132013 is a deficient number, since it is larger than the sum of its proper divisors (916845267).

2102132013 is a wasteful number, since it uses less digits than its factorization.

2102132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857728.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2102132013 is about 45849.0132172984. The cubic root of 2102132013 is about 1281.0123853056.

Adding to 2102132013 its reverse (3102312012), we get a palindrome (5204444025).

It can be divided in two parts, 210213 and 2013, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 2102132013 in words is "two billion, one hundred two million, one hundred thirty-two thousand, thirteen".