1313121220100 has 36 divisors (see below), whose sum is σ = 2849751372468. Its totient is φ = 525197184000.

The previous prime is 1313121220067. The next prime is 1313121220133. The reversal of 1313121220100 is 10221213131.

It is an interprime number because it is at equal distance from previous prime (1313121220067) and next prime (1313121220133).

It can be written as a sum of positive squares in 6 ways, for example, as 88717005316 + 1224404214784 = 297854^2 + 1106528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395960 + ... + 1668240.

Almost surely, 2^{1313121220100} is an apocalyptic number.

1313121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313121220100 is an abundant number, since it is smaller than the sum of its proper divisors (1536630152368).

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

1313121220100 is a wasteful number, since it uses less digits than its factorization.

1313121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282616 (or 1282609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1313121220100 its reverse (10221213131), we get a palindrome (1323342433231).

The spelling of 1313121220100 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".