2131333322013 has 48 divisors (see below), whose sum is σ = 3526984755840. Its totient is φ = 1214933810688.

The previous prime is 2131333322011. The next prime is 2131333322023. The reversal of 2131333322013 is 3102233331312.

2131333322013 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 333 + 322 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2131333322013 - 2¹ = 2131333322011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131333322011) 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 47 ways as a sum of consecutive naturals, for example, 43599481 + ... + 43648337.

It is an arithmetic number, because the mean of its divisors is an integer number (73478849080).

Almost surely, 2^{2131333322013} is an apocalyptic number.

It is an amenable number.

2131333322013 is a deficient number, since it is larger than the sum of its proper divisors (1395651433827).

2131333322013 is a wasteful number, since it uses less digits than its factorization.

2131333322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50546 (or 50543 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2131333322013 its reverse (3102233331312), we get a palindrome (5233566653325).

The spelling of 2131333322013 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred twenty-two thousand, thirteen".