1013514351345 has 48 divisors (see below), whose sum is σ = 1794561080832. Its totient is φ = 528914785920.

The previous prime is 1013514351331. The next prime is 1013514351383. The reversal of 1013514351345 is 5431534153101.

1013514351345 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 514 + 3 + 5 + 134 + 5 = 666.

It is not a de Polignac number, because 1013514351345 - 2⁴ = 1013514351329 is a prime.

It is a super-2 number, since 2×1013514351345² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9232399 + ... + 9341531.

It is an arithmetic number, because the mean of its divisors is an integer number (37386689184).

Almost surely, 2^{1013514351345} is an apocalyptic number.

1013514351345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013514351345 is a deficient number, since it is larger than the sum of its proper divisors (781046729487).

1013514351345 is a wasteful number, since it uses less digits than its factorization.

1013514351345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113582 (or 113579 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1013514351345 in words is "one trillion, thirteen billion, five hundred fourteen million, three hundred fifty-one thousand, three hundred forty-five".