1001311511361 has 16 divisors (see below), whose sum is σ = 1529432277888. Its totient is φ = 570818908800.

The previous prime is 1001311511351. The next prime is 1001311511383. The reversal of 1001311511361 is 1631151131001.

It is a happy number.

It is not a de Polignac number, because 1001311511361 - 2⁶ = 1001311511297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001311511311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56620020 + ... + 56637701.

It is an arithmetic number, because the mean of its divisors is an integer number (95589517368).

Almost surely, 2^{1001311511361} is an apocalyptic number.

It is an amenable number.

1001311511361 is a deficient number, since it is larger than the sum of its proper divisors (528120766527).

1001311511361 is a wasteful number, since it uses less digits than its factorization.

1001311511361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113258152.

The product of its (nonzero) digits is 270, while the sum is 24.

Adding to 1001311511361 its reverse (1631151131001), we get a palindrome (2632462642362).

The spelling of 1001311511361 in words is "one trillion, one billion, three hundred eleven million, five hundred eleven thousand, three hundred sixty-one".