101320131021030 has 192 divisors, whose sum is σ = 270469083201408. Its totient is φ = 26300001361920.

The previous prime is 101320131020993. The next prime is 101320131021127. The reversal of 101320131021030 is 30120131023101.

101320131021030 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 310 + 2 + 1 + 0 + 30 = 666.

101320131021030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101320131020994 and 101320131021012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10945240162 + ... + 10945249418.

It is an arithmetic number, because the mean of its divisors is an integer number (1408693141674).

Almost surely, 2^{101320131021030} is an apocalyptic number.

101320131021030 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 101320131021030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135234541600704).

101320131021030 is an abundant number, since it is smaller than the sum of its proper divisors (169148952180378).

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

101320131021030 is a wasteful number, since it uses less digits than its factorization.

101320131021030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711 (or 15708 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101320131021030 its reverse (30120131023101), we get a palindrome (131440262044131).

The spelling of 101320131021030 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-one million, twenty-one thousand, thirty".