10132023201300 has 2592 divisors, whose sum is σ = 45011201848704. Its totient is φ = 1872460800000.

The previous prime is 10132023201271. The next prime is 10132023201347. The reversal of 10132023201300 is 310232023101.

10132023201300 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 23 + 20 + 1 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 40366626175 + ... + 40366626425.

It is an arithmetic number, because the mean of its divisors is an integer number (17365432812).

Almost surely, 2^{10132023201300} is an apocalyptic number.

10132023201300 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 10132023201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505600924352).

10132023201300 is an abundant number, since it is smaller than the sum of its proper divisors (34879178647404).

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

10132023201300 is a wasteful number, since it uses less digits than its factorization.

10132023201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

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

Adding to 10132023201300 its reverse (310232023101), we get a palindrome (10442255224401).

The spelling of 10132023201300 in words is "ten trillion, one hundred thirty-two billion, twenty-three million, two hundred one thousand, three hundred".