10031012131201 has 2 divisors, whose sum is σ = 10031012131202. Its totient is φ = 10031012131200.

The previous prime is 10031012131199. The next prime is 10031012131211. The reversal of 10031012131201 is 10213121013001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8098856530801 + 1932155600400 = 2845849^2 + 1390020^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031012131201 - 2¹ = 10031012131199 is a prime.

Together with 10031012131199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10031012131211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015506065600 + 5015506065601.

It is an arithmetic number, because the mean of its divisors is an integer number (5015506065601).

Almost surely, 2^{10031012131201} is an apocalyptic number.

It is an amenable number.

10031012131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031012131201 is an equidigital number, since it uses as much as digits as its factorization.

10031012131201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10031012131201 its reverse (10213121013001), we get a palindrome (20244133144202).

The spelling of 10031012131201 in words is "ten trillion, thirty-one billion, twelve million, one hundred thirty-one thousand, two hundred one".