101000331333030 has 128 divisors (see below), whose sum is σ = 256976688900096. Its totient is φ = 25352596684800.

The previous prime is 101000331333029. The next prime is 101000331333059. The reversal of 101000331333030 is 30333133000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000331332988 and 101000331333006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24598182 + ... + 28408998.

It is an arithmetic number, because the mean of its divisors is an integer number (2007630382032).

Almost surely, 2^{101000331333030} is an apocalyptic number.

101000331333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000331333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128488344450048).

101000331333030 is an abundant number, since it is smaller than the sum of its proper divisors (155976357567066).

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

101000331333030 is a wasteful number, since it uses less digits than its factorization.

101000331333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811462.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 101000331333030 its reverse (30333133000101), we get a palindrome (131333464333131).

The spelling of 101000331333030 in words is "one hundred one trillion, three hundred thirty-one million, three hundred thirty-three thousand, thirty".