13137961 has 2 divisors, whose sum is σ = 13137962. Its totient is φ = 13137960.

The previous prime is 13137947. The next prime is 13137973. The reversal of 13137961 is 16973131.

13137961 = T₂₉₅₈ + T₂₉₅₉ + T₂₉₆₀.

13137961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12425625 + 712336 = 3525^2 + 844^2 .

It is a cyclic number.

It is not a de Polignac number, because 13137961 - 2¹³ = 13129769 is a prime.

It is not a weakly prime, because it can be changed into another prime (13137931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568980 + 6568981.

It is an arithmetic number, because the mean of its divisors is an integer number (6568981).

Almost surely, 2^13137961 is an apocalyptic number.

13137961 is the 2960-th centered triangular number.

It is an amenable number.

13137961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137961 is an equidigital number, since it uses as much as digits as its factorization.

13137961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 31.

The square root of 13137961 is about 3624.6325330990. The cubic root of 13137961 is about 235.9623192258.

The spelling of 13137961 in words is "thirteen million, one hundred thirty-seven thousand, nine hundred sixty-one".