101331434300 has 72 divisors (see below), whose sum is σ = 223156467072. Its totient is φ = 39931192000.

The previous prime is 101331434297. The next prime is 101331434317. The reversal of 101331434300 is 3434133101.

It is a super-3 number, since 3×101331434300³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10808615 + ... + 10817985.

It is an arithmetic number, because the mean of its divisors is an integer number (3099395376).

Almost surely, 2^101331434300 is an apocalyptic number.

101331434300 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 101331434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111578233536).

101331434300 is an abundant number, since it is smaller than the sum of its proper divisors (121825032772).

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

101331434300 is a wasteful number, since it uses less digits than its factorization.

101331434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101331434300 its reverse (3434133101), we get a palindrome (104765567401).

The spelling of 101331434300 in words is "one hundred one billion, three hundred thirty-one million, four hundred thirty-four thousand, three hundred".