1002132131033 has 16 divisors (see below), whose sum is σ = 1097952238656. Its totient is φ = 907103816640.

The previous prime is 1002132131027. The next prime is 1002132131111. The reversal of 1002132131033 is 3301312312001.

It is a cyclic number.

It is not a de Polignac number, because 1002132131033 - 2⁴ = 1002132131017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002132130996 and 1002132131014.

It is not an unprimeable number, because it can be changed into a prime (1002132131023) 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, 3460910 + ... + 3739272.

It is an arithmetic number, because the mean of its divisors is an integer number (68622014916).

Almost surely, 2^{1002132131033} is an apocalyptic number.

It is an amenable number.

1002132131033 is a deficient number, since it is larger than the sum of its proper divisors (95820107623).

1002132131033 is a wasteful number, since it uses less digits than its factorization.

1002132131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279784.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1002132131033 its reverse (3301312312001), we get a palindrome (4303444443034).

The spelling of 1002132131033 in words is "one trillion, two billion, one hundred thirty-two million, one hundred thirty-one thousand, thirty-three".