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1313010120000 = 2635437734051
BaseRepresentation
bin10011000110110101100…
…000000111010101000000
311122112002221012000201110
4103012311200013111000
5133003021042320000
62443104415403320
7163601420605365
oct23066540072500
94575087160643
101313010120000
11466931a89987
12192578523540
1396a7c6004b7
144779b3ca46c
152424b1c5850
hex131b5807540

1313010120000 has 560 divisors, whose sum is σ = 4520635583552. Its totient is φ = 335923200000.

The previous prime is 1313010119977. The next prime is 1313010120047. The reversal of 1313010120000 is 210103131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324117975 + ... + 324122025.

Almost surely, 21313010120000 is an apocalyptic number.

1313010120000 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 1313010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260317791776).

1313010120000 is an abundant number, since it is smaller than the sum of its proper divisors (3207625463552).

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

1313010120000 is an equidigital number, since it uses as much as digits as its factorization.

1313010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1313010120000 its reverse (210103131), we get a palindrome (1313220223131).

The spelling of 1313010120000 in words is "one trillion, three hundred thirteen billion, ten million, one hundred twenty thousand".