13020505451040 has 96 divisors (see below), whose sum is σ = 41208974444736. Its totient is φ = 3455679144960.

The previous prime is 13020505450999. The next prime is 13020505451059. The reversal of 13020505451040 is 4015450502031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13020505450989 and 13020505451007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64178467 + ... + 64381026.

It is an arithmetic number, because the mean of its divisors is an integer number (429260150466).

Almost surely, 2^{13020505451040} is an apocalyptic number.

13020505451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020505451040 is an abundant number, since it is smaller than the sum of its proper divisors (28188468993696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13020505451040 is a wasteful number, since it uses less digits than its factorization.

13020505451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128559722 (or 128559714 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 13020505451040 its reverse (4015450502031), we get a palindrome (17035955953071).

The spelling of 13020505451040 in words is "thirteen trillion, twenty billion, five hundred five million, four hundred fifty-one thousand, forty".