2531414123101 has 2 divisors, whose sum is σ = 2531414123102. Its totient is φ = 2531414123100.

The previous prime is 2531414123089. The next prime is 2531414123177. The reversal of 2531414123101 is 1013214141352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1323360339876 + 1208053783225 = 1150374^2 + 1099115^2 .

It is a cyclic number.

It is not a de Polignac number, because 2531414123101 - 2⁷ = 2531414122973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2531414123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2531414123701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1265707061550 + 1265707061551.

It is an arithmetic number, because the mean of its divisors is an integer number (1265707061551).

Almost surely, 2^{2531414123101} is an apocalyptic number.

It is an amenable number.

2531414123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2531414123101 is an equidigital number, since it uses as much as digits as its factorization.

2531414123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 2531414123101 its reverse (1013214141352), we get a palindrome (3544628264453).

The spelling of 2531414123101 in words is "two trillion, five hundred thirty-one billion, four hundred fourteen million, one hundred twenty-three thousand, one hundred one".