1131577003361 has 32 divisors (see below), whose sum is σ = 1332702535680. Its totient is φ = 940501181376.

The previous prime is 1131577003339. The next prime is 1131577003367. The reversal of 1131577003361 is 1633007751311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1131577003361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131577003367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221571170 + ... + 221576276.

It is an arithmetic number, because the mean of its divisors is an integer number (41646954240).

Almost surely, 2^{1131577003361} is an apocalyptic number.

It is an amenable number.

1131577003361 is a deficient number, since it is larger than the sum of its proper divisors (201125532319).

1131577003361 is a wasteful number, since it uses less digits than its factorization.

1131577003361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893.

The product of its (nonzero) digits is 39690, while the sum is 38.

The spelling of 1131577003361 in words is "one trillion, one hundred thirty-one billion, five hundred seventy-seven million, three thousand, three hundred sixty-one".