101013011331030 has 128 divisors (see below), whose sum is σ = 270287137128960. Its totient is φ = 26844936001920.

The previous prime is 101013011330981. The next prime is 101013011331053. The reversal of 101013011331030 is 30133110310101.

101013011331030 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 301 + 1 + 331 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101013011330994 and 101013011331012.

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, 337674225 + ... + 337973235.

It is an arithmetic number, because the mean of its divisors is an integer number (2111618258820).

Almost surely, 2^{101013011331030} is an apocalyptic number.

101013011331030 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 101013011331030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135143568564480).

101013011331030 is an abundant number, since it is smaller than the sum of its proper divisors (169274125797930).

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

101013011331030 is a wasteful number, since it uses less digits than its factorization.

101013011331030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303291 (or 303285 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101013011331030 its reverse (30133110310101), we get a palindrome (131146121641131).

The spelling of 101013011331030 in words is "one hundred one trillion, thirteen billion, eleven million, three hundred thirty-one thousand, thirty".