101353103130 has 128 divisors (see below), whose sum is σ = 252494161920. Its totient is φ = 26020673280.

The previous prime is 101353103123. The next prime is 101353103149. The reversal of 101353103130 is 31301353101.

It is a junction number, because it is equal to n+sod(n) for n = 101353103097 and 101353103106.

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, 30425565 + ... + 30428895.

It is an arithmetic number, because the mean of its divisors is an integer number (1972610640).

Almost surely, 2^101353103130 is an apocalyptic number.

101353103130 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 101353103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126247080960).

101353103130 is an abundant number, since it is smaller than the sum of its proper divisors (151141058790).

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

101353103130 is a wasteful number, since it uses less digits than its factorization.

101353103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 405, while the sum is 21.

Adding to 101353103130 its reverse (31301353101), we get a palindrome (132654456231).

The spelling of 101353103130 in words is "one hundred one billion, three hundred fifty-three million, one hundred three thousand, one hundred thirty".