101303032011000 has 256 divisors, whose sum is σ = 334736584940160. Its totient is φ = 25419069849600.

The previous prime is 101303032010977. The next prime is 101303032011037. The reversal of 101303032011000 is 110230303101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 217690572 + ... + 218155428.

Almost surely, 2^{101303032011000} is an apocalyptic number.

101303032011000 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 101303032011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167368292470080).

101303032011000 is an abundant number, since it is smaller than the sum of its proper divisors (233433552929160).

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

101303032011000 is a wasteful number, since it uses less digits than its factorization.

101303032011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469171 (or 469157 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101303032011000 its reverse (110230303101), we get a palindrome (101413262314101).

The spelling of 101303032011000 in words is "one hundred one trillion, three hundred three billion, thirty-two million, eleven thousand".