10201132013 has 8 divisors (see below), whose sum is σ = 10863636408. Its totient is φ = 9545565184.

The previous prime is 10201131989. The next prime is 10201132033. The reversal of 10201132013 is 31023110201.

It can be written as a sum of positive squares in 4 ways, for example, as 3142947844 + 7058184169 = 56062^2 + 84013^2 .

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 10201132013 - 2⁶ = 10201131949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201132033) 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, 1731356 + ... + 1737237.

It is an arithmetic number, because the mean of its divisors is an integer number (1357954551).

Almost surely, 2^10201132013 is an apocalyptic number.

It is an amenable number.

10201132013 is a deficient number, since it is larger than the sum of its proper divisors (662504395).

10201132013 is a wasteful number, since it uses less digits than its factorization.

10201132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468783.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10201132013 its reverse (31023110201), we get a palindrome (41224242214).

The spelling of 10201132013 in words is "ten billion, two hundred one million, one hundred thirty-two thousand, thirteen".