101300404000 has 192 divisors, whose sum is σ = 254048296320. Its totient is φ = 39686476800.

The previous prime is 101300403989. The next prime is 101300404003. The reversal of 101300404000 is 404003101.

It is not an unprimeable number, because it can be changed into a prime (101300404003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81891382 + ... + 81892618.

It is an arithmetic number, because the mean of its divisors is an integer number (1323168210).

Almost surely, 2^101300404000 is an apocalyptic number.

101300404000 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 101300404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127024148160).

101300404000 is an abundant number, since it is smaller than the sum of its proper divisors (152747892320).

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

101300404000 is a wasteful number, since it uses less digits than its factorization.

101300404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 101300404000 its reverse (404003101), we get a palindrome (101704407101).

The spelling of 101300404000 in words is "one hundred one billion, three hundred million, four hundred four thousand".