10002131010033 has 16 divisors (see below), whose sum is σ = 14194585691136. Its totient is φ = 6242989064960.

The previous prime is 10002131010031. The next prime is 10002131010037. The reversal of 10002131010033 is 33001013120001.

10002131010033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002131010033 - 2¹ = 10002131010031 is a prime.

It is a super-2 number, since 2×10002131010033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002131009994 and 10002131010021.

It is not an unprimeable number, because it can be changed into a prime (10002131010031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513393966 + ... + 513413447.

It is an arithmetic number, because the mean of its divisors is an integer number (887161605696).

Almost surely, 2^{10002131010033} is an apocalyptic number.

It is an amenable number.

10002131010033 is a deficient number, since it is larger than the sum of its proper divisors (4192454681103).

10002131010033 is a wasteful number, since it uses less digits than its factorization.

10002131010033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026807624.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10002131010033 its reverse (33001013120001), we get a palindrome (43003144130034).

The spelling of 10002131010033 in words is "ten trillion, two billion, one hundred thirty-one million, ten thousand, thirty-three".