1313311101102 has 192 divisors, whose sum is σ = 3883176460800. Its totient is φ = 309717561600.

The previous prime is 1313311101101. The next prime is 1313311101103. The reversal of 1313311101102 is 2011011133131.

1313311101102 is a `hidden beast` number, since 131 + 331 + 1 + 101 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (1313311101101) and next prime (1313311101103).

It is a super-2 number, since 2×1313311101102² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313311101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501649 + ... + 1696547.

It is an arithmetic number, because the mean of its divisors is an integer number (20224877400).

Almost surely, 2^{1313311101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313311101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941588230400).

1313311101102 is an abundant number, since it is smaller than the sum of its proper divisors (2569865359698).

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

1313311101102 is a wasteful number, since it uses less digits than its factorization.

1313311101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194999 (or 1194996 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1313311101102 its reverse (2011011133131), we get a palindrome (3324322234233).

The spelling of 1313311101102 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, one hundred one thousand, one hundred two".