1002131102313 has 36 divisors (see below), whose sum is σ = 1666601368848. Its totient is φ = 575386258320.

The previous prime is 1002131102261. The next prime is 1002131102327. The reversal of 1002131102313 is 3132011312001.

1002131102313 is a `hidden beast` number, since 100 + 21 + 311 + 0 + 231 + 3 = 666.

It is not a de Polignac number, because 1002131102313 - 2⁶ = 1002131102249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002131102363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13984395 + ... + 14055872.

It is an arithmetic number, because the mean of its divisors is an integer number (46294482468).

Almost surely, 2^{1002131102313} is an apocalyptic number.

It is an amenable number.

1002131102313 is a deficient number, since it is larger than the sum of its proper divisors (664470266535).

1002131102313 is a wasteful number, since it uses less digits than its factorization.

1002131102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28040322 (or 28040300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1002131102313 its reverse (3132011312001), we get a palindrome (4134142414314).

The spelling of 1002131102313 in words is "one trillion, two billion, one hundred thirty-one million, one hundred two thousand, three hundred thirteen".