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1310012130000 = 24354753117701
BaseRepresentation
bin10011000100000010110…
…011101100001011010000
311122020100222221100120210
4103010002303230023100
5132430401101130000
62441451122204120
7163434215243640
oct23040263541320
94566328840523
101310012130000
114656337716a2
12191a804b3640
13966c2470b12
1447595188520
1524122dcc350
hex13102cec2d0

1310012130000 has 400 divisors, whose sum is σ = 4924252434816. Its totient is φ = 293779200000.

The previous prime is 1310012129989. The next prime is 1310012130019. The reversal of 1310012130000 is 312100131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×13100121300002 (a number of 25 digits) contains 22 as substring.

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, 11071150 + ... + 11188850.

Almost surely, 21310012130000 is an apocalyptic number.

1310012130000 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 1310012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462126217408).

1310012130000 is an abundant number, since it is smaller than the sum of its proper divisors (3614240304816).

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

1310012130000 is a wasteful number, since it uses less digits than its factorization.

1310012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117792 (or 117771 counting only the distinct ones).

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

Adding to 1310012130000 its reverse (312100131), we get a palindrome (1310324230131).

It can be divided in two parts, 131001 and 2130000, that added together give a triangular number (2261001 = T2126).

The spelling of 1310012130000 in words is "one trillion, three hundred ten billion, twelve million, one hundred thirty thousand".