1313132000101 has 2 divisors, whose sum is σ = 1313132000102. Its totient is φ = 1313132000100.

The previous prime is 1313132000057. The next prime is 1313132000129. The reversal of 1313132000101 is 1010002313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1305843280225 + 7288719876 = 1142735^2 + 85374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313132000101 - 2¹⁷ = 1313131869029 is a prime.

It is a super-3 number, since 3×1313132000101³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313132001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656566000050 + 656566000051.

It is an arithmetic number, because the mean of its divisors is an integer number (656566000051).

Almost surely, 2^{1313132000101} is an apocalyptic number.

It is an amenable number.

1313132000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313132000101 is an equidigital number, since it uses as much as digits as its factorization.

1313132000101 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 16.

Adding to 1313132000101 its reverse (1010002313131), we get a palindrome (2323134313232).

The spelling of 1313132000101 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred one", and thus it is an aban number.