10401533001300 has 576 divisors, whose sum is σ = 35605498880000. Its totient is φ = 2343114708480.

The previous prime is 10401533001263. The next prime is 10401533001329. The reversal of 10401533001300 is 310033510401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7129219971 + ... + 7129221429.

Almost surely, 2^{10401533001300} is an apocalyptic number.

10401533001300 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 10401533001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802749440000).

10401533001300 is an abundant number, since it is smaller than the sum of its proper divisors (25203965878700).

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

10401533001300 is a wasteful number, since it uses less digits than its factorization.

10401533001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10401533001300 its reverse (310033510401), we get a palindrome (10711566511701).

The spelling of 10401533001300 in words is "ten trillion, four hundred one billion, five hundred thirty-three million, one thousand, three hundred".