10312131101 has 2 divisors, whose sum is σ = 10312131102. Its totient is φ = 10312131100.

The previous prime is 10312131091. The next prime is 10312131107. The reversal of 10312131101 is 10113121301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7212425476 + 3099705625 = 84926^2 + 55675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312131101 - 2²² = 10307936797 is a prime.

It is a super-2 number, since 2×10312131101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312131107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156065550 + 5156065551.

It is an arithmetic number, because the mean of its divisors is an integer number (5156065551).

Almost surely, 2^10312131101 is an apocalyptic number.

It is an amenable number.

10312131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312131101 is an equidigital number, since it uses as much as digits as its factorization.

10312131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10312131101 its reverse (10113121301), we get a palindrome (20425252402).

The spelling of 10312131101 in words is "ten billion, three hundred twelve million, one hundred thirty-one thousand, one hundred one".