2132201002013 has 16 divisors (see below), whose sum is σ = 2163120664320. Its totient is φ = 2101470552576.

The previous prime is 2132201001989. The next prime is 2132201002021. The reversal of 2132201002013 is 3102001022312.

It is a cyclic number.

It is not a de Polignac number, because 2132201002013 - 2²⁰ = 2132199953437 is a prime.

It is a super-2 number, since 2×2132201002013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132201001982 and 2132201002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132201002073) 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 15 ways as a sum of consecutive naturals, for example, 65294456 + ... + 65327102.

It is an arithmetic number, because the mean of its divisors is an integer number (135195041520).

Almost surely, 2^{2132201002013} is an apocalyptic number.

It is an amenable number.

2132201002013 is a deficient number, since it is larger than the sum of its proper divisors (30919662307).

2132201002013 is a wasteful number, since it uses less digits than its factorization.

2132201002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35516.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2132201002013 its reverse (3102001022312), we get a palindrome (5234202024325).

The spelling of 2132201002013 in words is "two trillion, one hundred thirty-two billion, two hundred one million, two thousand, thirteen".