13120202411304 has 256 divisors, whose sum is σ = 35358035328000. Its totient is φ = 4044567582720.

The previous prime is 13120202411299. The next prime is 13120202411321. The reversal of 13120202411304 is 40311420202131.

It is a super-2 number, since 2×13120202411304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320924542 + ... + 2320930194.

It is an arithmetic number, because the mean of its divisors is an integer number (138117325500).

Almost surely, 2^{13120202411304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120202411304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679017664000).

13120202411304 is an abundant number, since it is smaller than the sum of its proper divisors (22237832916696).

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

13120202411304 is a wasteful number, since it uses less digits than its factorization.

13120202411304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13120202411304 its reverse (40311420202131), we get a palindrome (53431622613435).

The spelling of 13120202411304 in words is "thirteen trillion, one hundred twenty billion, two hundred two million, four hundred eleven thousand, three hundred four".