1002013203312 has 120 divisors (see below), whose sum is σ = 3239128329840. Its totient is φ = 285779159040.

The previous prime is 1002013203271. The next prime is 1002013203313. The reversal of 1002013203312 is 2133023102001.

1002013203312 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 1 + 320 + 331 + 2 = 666.

It is a super-2 number, since 2×1002013203312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002013203313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18578487 + ... + 18632342.

It is an arithmetic number, because the mean of its divisors is an integer number (26992736082).

Almost surely, 2^{1002013203312} is an apocalyptic number.

1002013203312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002013203312 is an abundant number, since it is smaller than the sum of its proper divisors (2237115126528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002013203312 is a wasteful number, since it uses less digits than its factorization.

1002013203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37210871 (or 37210862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002013203312 its reverse (2133023102001), we get a palindrome (3135036305313).

The spelling of 1002013203312 in words is "one trillion, two billion, thirteen million, two hundred three thousand, three hundred twelve".