103312202211312 has 160 divisors (see below), whose sum is σ = 280062734837760. Its totient is φ = 32786930135040.

The previous prime is 103312202211263. The next prime is 103312202211329. The reversal of 103312202211312 is 213112202213301.

It is a super-2 number, since 2×103312202211312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12660033 + ... + 19154655.

It is an arithmetic number, because the mean of its divisors is an integer number (1750392092736).

Almost surely, 2^{103312202211312} is an apocalyptic number.

103312202211312 is a gapful number since it is divisible by the number (12) 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 103312202211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140031367418880).

103312202211312 is an abundant number, since it is smaller than the sum of its proper divisors (176750532626448).

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

103312202211312 is a wasteful number, since it uses less digits than its factorization.

103312202211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494871 (or 6494865 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103312202211312 its reverse (213112202213301), we get a palindrome (316424404424613).

The spelling of 103312202211312 in words is "one hundred three trillion, three hundred twelve billion, two hundred two million, two hundred eleven thousand, three hundred twelve".