1321011275761 has 8 divisors (see below), whose sum is σ = 1436521006440. Its totient is φ = 1209701899008.

The previous prime is 1321011275741. The next prime is 1321011275767. The reversal of 1321011275761 is 1675721101231.

It can be written as a sum of positive squares in 4 ways, for example, as 484737605361 + 836273670400 = 696231^2 + 914480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1321011275761 - 2⁹ = 1321011275249 is a prime.

It is a super-2 number, since 2×1321011275761² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1321011275761.

It is not an unprimeable number, because it can be changed into a prime (1321011275767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050087826 + ... + 1050089083.

It is an arithmetic number, because the mean of its divisors is an integer number (179565125805).

Almost surely, 2^{1321011275761} is an apocalyptic number.

It is an amenable number.

1321011275761 is a deficient number, since it is larger than the sum of its proper divisors (115509730679).

1321011275761 is a wasteful number, since it uses less digits than its factorization.

1321011275761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100176963.

The product of its (nonzero) digits is 17640, while the sum is 37.

Adding to 1321011275761 its reverse (1675721101231), we get a palindrome (2996732376992).

The spelling of 1321011275761 in words is "one trillion, three hundred twenty-one billion, eleven million, two hundred seventy-five thousand, seven hundred sixty-one".