1311021000120 has 256 divisors, whose sum is σ = 4498338862080. Its totient is φ = 302810112000.

The previous prime is 1311021000109. The next prime is 1311021000131. The reversal of 1311021000120 is 210001201131.

It is an interprime number because it is at equal distance from previous prime (1311021000109) and next prime (1311021000131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1311021000096 and 1311021000105.

It is a congruent number.

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, 8703445 + ... + 8852795.

It is an arithmetic number, because the mean of its divisors is an integer number (17571636180).

Almost surely, 2^{1311021000120} is an apocalyptic number.

1311021000120 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 1311021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249169431040).

1311021000120 is an abundant number, since it is smaller than the sum of its proper divisors (3187317861960).

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

1311021000120 is a wasteful number, since it uses less digits than its factorization.

1311021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149726 (or 149722 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1311021000120 its reverse (210001201131), we get a palindrome (1521022201251).

The spelling of 1311021000120 in words is "one trillion, three hundred eleven billion, twenty-one million, one hundred twenty", and thus it is an aban number.