103020322213120 has 288 divisors, whose sum is σ = 269511010659072. Its totient is φ = 37502884970496.

The previous prime is 103020322213069. The next prime is 103020322213153. The reversal of 103020322213120 is 21312223020301.

It is a super-2 number, since 2×103020322213120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103020322213091 and 103020322213100.

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, 388927444 + ... + 389192236.

It is an arithmetic number, because the mean of its divisors is an integer number (935802120344).

Almost surely, 2^{103020322213120} is an apocalyptic number.

103020322213120 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 103020322213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134755505329536).

103020322213120 is an abundant number, since it is smaller than the sum of its proper divisors (166490688445952).

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

103020322213120 is a wasteful number, since it uses less digits than its factorization.

103020322213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265157 (or 265143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103020322213120 its reverse (21312223020301), we get a palindrome (124332545233421).

The spelling of 103020322213120 in words is "one hundred three trillion, twenty billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".