13021121031030 has 224 divisors, whose sum is σ = 41140632552768. Its totient is φ = 2903664153600.

The previous prime is 13021121031001. The next prime is 13021121031047. The reversal of 13021121031030 is 3013012112031.

13021121031030 is a `hidden beast` number, since 1 + 302 + 1 + 1 + 21 + 0 + 310 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13021121030994 and 13021121031012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1019551 + ... + 5204010.

It is an arithmetic number, because the mean of its divisors is an integer number (183663538182).

Almost surely, 2^{13021121031030} is an apocalyptic number.

13021121031030 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 13021121031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570316276384).

13021121031030 is an abundant number, since it is smaller than the sum of its proper divisors (28119511521738).

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

13021121031030 is an equidigital number, since it uses as much as digits as its factorization.

13021121031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223634 (or 6223619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13021121031030 its reverse (3013012112031), we get a palindrome (16034133143061).

The spelling of 13021121031030 in words is "thirteen trillion, twenty-one billion, one hundred twenty-one million, thirty-one thousand, thirty".