13351451205000 has 160 divisors (see below), whose sum is σ = 41721781131360. Its totient is φ = 3559375680000.

The previous prime is 13351451204989. The next prime is 13351451205013. The reversal of 13351451205000 is 50215415331.

It is a super-4 number, since 4×13351451205000⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53440372 + ... + 53689628.

It is an arithmetic number, because the mean of its divisors is an integer number (260761132071).

Almost surely, 2^{13351451205000} is an apocalyptic number.

13351451205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13351451205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20860890565680).

13351451205000 is an abundant number, since it is smaller than the sum of its proper divisors (28370329926360).

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

13351451205000 is a wasteful number, since it uses less digits than its factorization.

13351451205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252857 (or 252838 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13351451205000 in words is "thirteen trillion, three hundred fifty-one billion, four hundred fifty-one million, two hundred five thousand".