1002132121313 has 8 divisors (see below), whose sum is σ = 1044502258176. Its totient is φ = 960389690400.

The previous prime is 1002132121279. The next prime is 1002132121337. The reversal of 1002132121313 is 3131212312001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002132121313 - 2²⁶ = 1002065012449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002132121813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156923228 + ... + 156929613.

It is an arithmetic number, because the mean of its divisors is an integer number (130562782272).

Almost surely, 2^{1002132121313} is an apocalyptic number.

It is an amenable number.

1002132121313 is a deficient number, since it is larger than the sum of its proper divisors (42370136863).

1002132121313 is a wasteful number, since it uses less digits than its factorization.

1002132121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313852975.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1002132121313 its reverse (3131212312001), we get a palindrome (4133344433314).

The spelling of 1002132121313 in words is "one trillion, two billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred thirteen".