10002131001013 has 4 divisors (see below), whose sum is σ = 10099239069088. Its totient is φ = 9905022932940.

The previous prime is 10002131000993. The next prime is 10002131001017. The reversal of 10002131001013 is 31010013120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002131001013 is a prime.

It is a super-2 number, since 2×10002131001013² (a number of 27 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 = 10002131000984 and 10002131001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002131001017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48554033883 + ... + 48554034088.

It is an arithmetic number, because the mean of its divisors is an integer number (2524809767272).

Almost surely, 2^{10002131001013} is an apocalyptic number.

It is an amenable number.

10002131001013 is a deficient number, since it is larger than the sum of its proper divisors (97108068075).

10002131001013 is an equidigital number, since it uses as much as digits as its factorization.

10002131001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97108068074.

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

Adding to 10002131001013 its reverse (31010013120001), we get a palindrome (41012144121014).

The spelling of 10002131001013 in words is "ten trillion, two billion, one hundred thirty-one million, one thousand, thirteen".