1321405023353 has 8 divisors (see below), whose sum is σ = 1334741476296. Its totient is φ = 1308073536000.

The previous prime is 1321405023331. The next prime is 1321405023361. The reversal of 1321405023353 is 3533205041231.

It can be written as a sum of positive squares in 4 ways, for example, as 287630561344 + 1033774462009 = 536312^2 + 1016747^2 .

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 1321405023353 - 2¹² = 1321405019257 is a prime.

It is a super-2 number, since 2×1321405023353² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321405023313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705326 + ... + 1772087.

It is an arithmetic number, because the mean of its divisors is an integer number (166842684537).

Almost surely, 2^{1321405023353} is an apocalyptic number.

It is an amenable number.

1321405023353 is a deficient number, since it is larger than the sum of its proper divisors (13336452943).

1321405023353 is a wasteful number, since it uses less digits than its factorization.

1321405023353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482795.

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 1321405023353 in words is "one trillion, three hundred twenty-one billion, four hundred five million, twenty-three thousand, three hundred fifty-three".