103101131201310 has 384 divisors, whose sum is σ = 298960158182400. Its totient is φ = 24441261926400.

The previous prime is 103101131201281. The next prime is 103101131201347. The reversal of 103101131201310 is 13102131101301.

103101131201310 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 11 + 312 + 0 + 1 + 310 = 666.

It is a super-2 number, since 2×103101131201310² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19552648834 + ... + 19552654106.

It is an arithmetic number, because the mean of its divisors is an integer number (778542078600).

Almost surely, 2^{103101131201310} is an apocalyptic number.

103101131201310 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 103101131201310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149480079091200).

103101131201310 is an abundant number, since it is smaller than the sum of its proper divisors (195859026981090).

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

103101131201310 is a wasteful number, since it uses less digits than its factorization.

103101131201310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103101131201310 its reverse (13102131101301), we get a palindrome (116203262302611).

The spelling of 103101131201310 in words is "one hundred three trillion, one hundred one billion, one hundred thirty-one million, two hundred one thousand, three hundred ten".