1002100011331 has 8 divisors (see below), whose sum is σ = 1032212982528. Its totient is φ = 972257112000.

The previous prime is 1002100011301. The next prime is 1002100011349. The reversal of 1002100011331 is 1331100012001.

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 1002100011331 - 2²¹ = 1002097914179 is a prime.

It is a super-3 number, since 3×1002100011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002100011301) 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, 67510435 + ... + 67525276.

It is an arithmetic number, because the mean of its divisors is an integer number (129026622816).

Almost surely, 2^{1002100011331} is an apocalyptic number.

1002100011331 is a deficient number, since it is larger than the sum of its proper divisors (30112971197).

1002100011331 is a wasteful number, since it uses less digits than its factorization.

1002100011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135035933.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1002100011331 its reverse (1331100012001), we get a palindrome (2333200023332).

The spelling of 1002100011331 in words is "one trillion, two billion, one hundred million, eleven thousand, three hundred thirty-one".