10354666551313 has 6 divisors (see below), whose sum is σ = 12045224355666. Its totient is φ = 8875428472512.

The previous prime is 10354666551289. The next prime is 10354666551319. The reversal of 10354666551313 is 31315566645301.

It can be written as a sum of positive squares in only one way, i.e., 9086414439424 + 1268252111889 = 3014368^2 + 1126167^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10354666551313 is a prime.

It is a super-3 number, since 3×10354666551313³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 211319725537 = 10354666551313 / (1 + 0 + 3 + 5 + 4 + 6 + 6 + 6 + 5 + 5 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10354666551319) 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 5 ways as a sum of consecutive naturals, for example, 105659862720 + ... + 105659862817.

It is an arithmetic number, because the mean of its divisors is an integer number (2007537392611).

Almost surely, 2^{10354666551313} is an apocalyptic number.

It is an amenable number.

10354666551313 is a deficient number, since it is larger than the sum of its proper divisors (1690557804353).

10354666551313 is an equidigital number, since it uses as much as digits as its factorization.

10354666551313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211319725551 (or 211319725544 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

The spelling of 10354666551313 in words is "ten trillion, three hundred fifty-four billion, six hundred sixty-six million, five hundred fifty-one thousand, three hundred thirteen".