145213411313000 has 128 divisors (see below), whose sum is σ = 346727387635200. Its totient is φ = 56912315616000.

The previous prime is 145213411312987. The next prime is 145213411313051. The reversal of 145213411313000 is 313114312541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333182 + ... + 17364818.

It is an arithmetic number, because the mean of its divisors is an integer number (2708807715900).

Almost surely, 2^{145213411313000} is an apocalyptic number.

145213411313000 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 145213411313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173363693817600).

145213411313000 is an abundant number, since it is smaller than the sum of its proper divisors (201513976322200).

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

145213411313000 is a wasteful number, since it uses less digits than its factorization.

145213411313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031868 (or 14031854 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 145213411313000 its reverse (313114312541), we get a palindrome (145526525625541).

The spelling of 145213411313000 in words is "one hundred forty-five trillion, two hundred thirteen billion, four hundred eleven million, three hundred thirteen thousand".