103211000101320 has 256 divisors, whose sum is σ = 318221420912640. Its totient is φ = 26766990701568.

The previous prime is 103211000101283. The next prime is 103211000101337. The reversal of 103211000101320 is 23101000112301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103211000101320.

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, 8653553197 + ... + 8653565123.

It is an arithmetic number, because the mean of its divisors is an integer number (1243052425440).

Almost surely, 2^{103211000101320} is an apocalyptic number.

103211000101320 is a gapful number since it is divisible by the number (10) 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 103211000101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159110710456320).

103211000101320 is an abundant number, since it is smaller than the sum of its proper divisors (215010420811320).

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

103211000101320 is a wasteful number, since it uses less digits than its factorization.

103211000101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21564 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103211000101320 its reverse (23101000112301), we get a palindrome (126312000213621).

The spelling of 103211000101320 in words is "one hundred three trillion, two hundred eleven billion, one hundred one thousand, three hundred twenty".