103313012311332 has 288 divisors, whose sum is σ = 273993695539200. Its totient is φ = 32781703643136.

The previous prime is 103313012311309. The next prime is 103313012311367. The reversal of 103313012311332 is 233113210313301.

103313012311332 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 3 + 0 + 12 + 311 + 332 = 666.

It is a super-2 number, since 2×103313012311332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313012311296 and 103313012311305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33445454044 + ... + 33445457132.

It is an arithmetic number, because the mean of its divisors is an integer number (951366998400).

Almost surely, 2^{103313012311332} is an apocalyptic number.

103313012311332 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 103313012311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136996847769600).

103313012311332 is an abundant number, since it is smaller than the sum of its proper divisors (170680683227868).

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

103313012311332 is a wasteful number, since it uses less digits than its factorization.

103313012311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103313012311332 its reverse (233113210313301), we get a palindrome (336426222624633).

The spelling of 103313012311332 in words is "one hundred three trillion, three hundred thirteen billion, twelve million, three hundred eleven thousand, three hundred thirty-two".