13022030001312 has 384 divisors, whose sum is σ = 38987403598080. Its totient is φ = 4227257548800.

The previous prime is 13022030001283. The next prime is 13022030001359. The reversal of 13022030001312 is 21310003022031.

13022030001312 is a `hidden beast` number, since 1 + 30 + 2 + 20 + 300 + 0 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5478345468 + ... + 5478347844.

It is an arithmetic number, because the mean of its divisors is an integer number (101529696870).

Almost surely, 2^{13022030001312} is an apocalyptic number.

13022030001312 is a gapful number since it is divisible by the number (12) 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 13022030001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493701799040).

13022030001312 is an abundant number, since it is smaller than the sum of its proper divisors (25965373596768).

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

13022030001312 is a wasteful number, since it uses less digits than its factorization.

13022030001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022030001312 its reverse (21310003022031), we get a palindrome (34332033023343).

The spelling of 13022030001312 in words is "thirteen trillion, twenty-two billion, thirty million, one thousand, three hundred twelve".