101131301321 has 2 divisors, whose sum is σ = 101131301322. Its totient is φ = 101131301320.

The previous prime is 101131301177. The next prime is 101131301329. The reversal of 101131301321 is 123103131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58864464400 + 42266836921 = 242620^2 + 205589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131301321 is a prime.

It is a super-3 number, since 3×101131301321³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101131301321.

It is not a weakly prime, because it can be changed into another prime (101131301329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565650660 + 50565650661.

It is an arithmetic number, because the mean of its divisors is an integer number (50565650661).

Almost surely, 2^101131301321 is an apocalyptic number.

It is an amenable number.

101131301321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131301321 is an equidigital number, since it uses as much as digits as its factorization.

101131301321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101131301321 its reverse (123103131101), we get a palindrome (224234432422).

The spelling of 101131301321 in words is "one hundred one billion, one hundred thirty-one million, three hundred one thousand, three hundred twenty-one".