10355312541315 has 64 divisors (see below), whose sum is σ = 19134666270720. Its totient is φ = 4684068311040.

The previous prime is 10355312541289. The next prime is 10355312541383. The reversal of 10355312541315 is 51314521355301.

10355312541315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10355312541315 - 2¹⁹ = 10355312017027 is a prime.

It is a super-3 number, since 3×10355312541315³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49404706 + ... + 49613864.

It is an arithmetic number, because the mean of its divisors is an integer number (298979160480).

Almost surely, 2^{10355312541315} is an apocalyptic number.

10355312541315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10355312541315 is a deficient number, since it is larger than the sum of its proper divisors (8779353729405).

10355312541315 is a wasteful number, since it uses less digits than its factorization.

10355312541315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214132.

The product of its (nonzero) digits is 135000, while the sum is 39.

Adding to 10355312541315 its reverse (51314521355301), we get a palindrome (61669833896616).

The spelling of 10355312541315 in words is "ten trillion, three hundred fifty-five billion, three hundred twelve million, five hundred forty-one thousand, three hundred fifteen".