10202021413131 has 24 divisors (see below), whose sum is σ = 14588109897984. Its totient is φ = 6329808761760.

The previous prime is 10202021413063. The next prime is 10202021413147. The reversal of 10202021413131 is 13131412020201.

10202021413131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10202021413131 is a prime.

It is a super-2 number, since 2×10202021413131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202021413098 and 10202021413107.

It is not an unprimeable number, because it can be changed into a prime (10202011413131) 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, 53906775 + ... + 54095696.

It is an arithmetic number, because the mean of its divisors is an integer number (607837912416).

Almost surely, 2^{10202021413131} is an apocalyptic number.

10202021413131 is a deficient number, since it is larger than the sum of its proper divisors (4386088484853).

10202021413131 is a wasteful number, since it uses less digits than its factorization.

10202021413131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108002571 (or 108002534 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10202021413131 its reverse (13131412020201), we get a palindrome (23333433433332).

The spelling of 10202021413131 in words is "ten trillion, two hundred two billion, twenty-one million, four hundred thirteen thousand, one hundred thirty-one".