2013431020002 has 48 divisors (see below), whose sum is σ = 4503475342080. Its totient is φ = 649448042400.

The previous prime is 2013431019979. The next prime is 2013431020009. The reversal of 2013431020002 is 2000201343102.

2013431020002 is a `hidden beast` number, since 20 + 13 + 431 + 0 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2013431020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8284249 + ... + 8523827.

It is an arithmetic number, because the mean of its divisors is an integer number (93822402960).

Almost surely, 2^{2013431020002} is an apocalyptic number.

2013431020002 is an abundant number, since it is smaller than the sum of its proper divisors (2490044322078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013431020002 is a wasteful number, since it uses less digits than its factorization.

2013431020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254679 (or 254676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2013431020002 its reverse (2000201343102), we get a palindrome (4013632363104).

The spelling of 2013431020002 in words is "two trillion, thirteen billion, four hundred thirty-one million, twenty thousand, two".