13020401101400 has 192 divisors, whose sum is σ = 37744851674880. Its totient is φ = 4058027481600.

The previous prime is 13020401101391. The next prime is 13020401101439. The reversal of 13020401101400 is 410110402031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430368674 + ... + 430398926.

It is an arithmetic number, because the mean of its divisors is an integer number (196587769140).

Almost surely, 2^{13020401101400} is an apocalyptic number.

13020401101400 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 13020401101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872425837440).

13020401101400 is an abundant number, since it is smaller than the sum of its proper divisors (24724450573480).

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

13020401101400 is a wasteful number, since it uses less digits than its factorization.

13020401101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58234 (or 58225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13020401101400 its reverse (410110402031), we get a palindrome (13430511503431).

The spelling of 13020401101400 in words is "thirteen trillion, twenty billion, four hundred one million, one hundred one thousand, four hundred".