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1313020201020 = 22351123715132371
BaseRepresentation
bin10011000110110110000…
…110100100100000111100
311122112010122011012021120
4103012312012210200330
5133003031132413040
62443105415430540
7163601602363203
oct23066606444074
94575118135246
101313020201020
11466937744a00
1219257b985450
1396a8171cbb8
144779c89223a
152424c0177d0
hex131b61a483c

1313020201020 has 288 divisors, whose sum is σ = 4177896135168. Its totient is φ = 307644480000.

The previous prime is 1313020201013. The next prime is 1313020201027. The reversal of 1313020201020 is 201020203131.

It is an interprime number because it is at equal distance from previous prime (1313020201013) and next prime (1313020201027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313020201027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40545435 + ... + 40577805.

Almost surely, 21313020201020 is an apocalyptic number.

1313020201020 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 1313020201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088948067584).

1313020201020 is an abundant number, since it is smaller than the sum of its proper divisors (2864875934148).

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

1313020201020 is a wasteful number, since it uses less digits than its factorization.

1313020201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32593 (or 32580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1313020201020 its reverse (201020203131), we get a palindrome (1514040404151).

The spelling of 1313020201020 in words is "one trillion, three hundred thirteen billion, twenty million, two hundred one thousand, twenty".