61131735313 has 12 divisors (see below), whose sum is σ = 68333282640. Its totient is φ = 54632361080.

The previous prime is 61131735277. The next prime is 61131735377. The reversal of 61131735313 is 31353713116.

It is a de Polignac number, because none of the positive numbers 2^k-61131735313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61131715313) 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 in 11 ways as a sum of consecutive naturals, for example, 4274395 + ... + 4288672.

It is an arithmetic number, because the mean of its divisors is an integer number (5694440220).

Almost surely, 2^61131735313 is an apocalyptic number.

It is an amenable number.

61131735313 is a deficient number, since it is larger than the sum of its proper divisors (7201547327).

61131735313 is a wasteful number, since it uses less digits than its factorization.

61131735313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563148 (or 8563137 counting only the distinct ones).

The product of its digits is 17010, while the sum is 34.

The spelling of 61131735313 in words is "sixty-one billion, one hundred thirty-one million, seven hundred thirty-five thousand, three hundred thirteen".