1002012213031 has 16 divisors (see below), whose sum is σ = 1036212940800. Its totient is φ = 968203285920.

The previous prime is 1002012213017. The next prime is 1002012213049. The reversal of 1002012213031 is 1303122102001.

It is a cyclic number.

It is not a de Polignac number, because 1002012213031 - 2³³ = 993422278439 is a prime.

It is a super-2 number, since 2×1002012213031² (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 = 1002012212996 and 1002012213014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012283031) 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 15 ways as a sum of consecutive naturals, for example, 4114780 + ... + 4351486.

It is an arithmetic number, because the mean of its divisors is an integer number (64763308800).

Almost surely, 2^{1002012213031} is an apocalyptic number.

1002012213031 is a deficient number, since it is larger than the sum of its proper divisors (34200727769).

1002012213031 is a wasteful number, since it uses less digits than its factorization.

1002012213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237534.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1002012213031 its reverse (1303122102001), we get a palindrome (2305134315032).

The spelling of 1002012213031 in words is "one trillion, two billion, twelve million, two hundred thirteen thousand, thirty-one".