101443313400 has 384 divisors, whose sum is σ = 372876134400. Its totient is φ = 22490265600.

The previous prime is 101443313399. The next prime is 101443313429. The reversal of 101443313400 is 4313344101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9346777 + ... + 9357623.

It is an arithmetic number, because the mean of its divisors is an integer number (971031600).

Almost surely, 2^101443313400 is an apocalyptic number.

101443313400 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 101443313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186438067200).

101443313400 is an abundant number, since it is smaller than the sum of its proper divisors (271432821000).

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

101443313400 is a wasteful number, since it uses less digits than its factorization.

101443313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101443313400 its reverse (4313344101), we get a palindrome (105756657501).

The spelling of 101443313400 in words is "one hundred one billion, four hundred forty-three million, three hundred thirteen thousand, four hundred".